Pseudocompact primitive topological inverse semigroups

Анотація

In the paper we study pseudocompact primitive topological inverse semigroups. We describe the structure of pseudocompact primitive topological inverse semigroups and show that the Tychonoff product of a family of pseudocompact primitive topological inverse semigroups is a pseudocompact topological space. Also we prove that the Stone – Čech compactification of a pseudocompact primitive topological inverse semigroup is a compact primitive topological inverse semigroup.